Lesson Polygons

 Kevin Ray
 5 months ago
 Views:
Transcription
1
2 Lesson Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon  A polygon with ten sides. Dodecagon  A polygon with twelve sides. Equiangular polygon  A polygon in which all angles are congruent. Equilateral polygon  A polygon in which all sides are congruent. Heptagon  A polygon with seven sides. Hexagon  A polygon with six sides. ngon  A general term used to represent a polygon with n sides. Nonagon  A polygon with nine sides. Octagon  A polygon with eight sides. Parallelogram  A quadrilateral with both pairs of opposite sides parallel. Pentagon  A polygon with five sides. Polygon  A closed plane figure that is bounded by three or more line segments. Quadrilateral  A polygon with four sides. Rectangle  A parallelogram with four right angles. Regular polygon  A polygon with all sides and all angles congruent. Rhombus  A parallelogram with four congruent sides. Right angle  An angle whose measure is 90 degrees. Square  A parallelogram with four congruent sides and four right angles. Trapezoid  A quadrilateral with exactly one pair of parallel sides. Triangle  A polygon with three sides. ***ANGLE MEASURES IN A POLYGON*** The sum of the angle measures of a polygon with n sides is 180 (n  2). Example 1 Quadrilateral ABCD is a parallelogram. Find the value of x. 43 Example 2 Find the sum of the angle measures in a dodecagon. 1,800 **Practice for Lesson 4.1 pages 101 & 102, 116 all**
3 Lesson INVESTIGATION: Formulas and Literal Equations Obj.: solve a literal equation for a specific variable. find the perimeter of a polygon. find the circumference of a circle. Circumference  The distance around a circle. Formula  An equation that states a rule for the relationship between two or more realword quantities. Literal equation  A literal equation is an equation that has more than one variable. Perimeter  The distance around a figure. EXAMPLE 1 Solve the literal equation 2x + 7y = 12 for y. EXAMPLE 2 The Pentagon, in Alexandria, Virginia, occupies a ground space that is a regular pentagon with side walls that are 921 feet in length. Find the perimeter of the Pentagon. 4,605 feet **Practice for Lesson 4.2 pages 105 & 106, 118 all**
4 Lesson ACTIVITY: Area and Package Obj.: create a mathematical model for an efficient package design. use area formulas to find the areas of various polygons. use areas of polygons to evaluate the efficiency of a package design. Area  The measure of the amount of surface occupied by a figure in square units. When efficient packaging is designed, many criteria are examined. The packaging must be economical. Conservation of both space and materials must be considered. Go to pages of the textbook. Now it is your turn to design your own softdrink package. Answer questions 16 in the space below. 1. Use handout 4A. 5. a. 2. b, 3. a. b. 6. a. 4. a. b. b. c. d. **Practice for Lesson 4.3 pages , 114 all**
5 Lesson INVESTIGATION: Volumes of Solid Figures Obj.: use formulas to find the volumes of right prisms, cylinders, cones, pyramids, and spheres. use volumes of solids to evaluate the efficiency of a package design. Cone  A solid with a circular base and a vertex that is not in the same plane as the base. Cube  A solid with six congruent square faces. Cylinder  A solid with two congruent circular bases that lie in parallel planes. Edges of a solid  The line segment formed by the intersection of two faces of a solid. Faces of a solid  A flat surface of a geometric solid. Pyramid  A solid with a polygonal base and lateral faces that are triangles that have a common vertex. Rectangular solid  A solid figure that has six rectangular faces. Right prism  A prism in which the lateral edges are perpendicular to both bases. Solid  A threedimensional figure that encloses a portion of space. Sphere  The set of all points in space that are equidistant from a given point called the center. Vertices of a solid  The endpoints of the edges of the solid. Volume  The amount of space that a threedimensional object occupies in cubic units. In this lesson, you will examine threedimensional models and use their volumes to determine the efficiencies of packages. Go to pages 112 & 113 of the textbook. Answer questions 15 in the space below. 1. _ _ 5. a. 3. _ b. **Practice for Lesson 4.4 pages , 120 all**
6 Lesson Review And Practice Obj.: solve problems that require previously learned concepts and skills. Example 1 Terms whose variable parts are exactly the same are called terms. Example 2 Choose the correct answer. Which figure is not a polygon? A. An equilateral triangle B. A square C. A circle D. A rhombus Example 3 Multiply or divide. a X 0.4 b Example 4 Add, subtract, multiply or divide. a ( 0.3) b. 8 ( 0.4) Example 5 Solve. a. What is 5% of 34? b. What is 0.5% of 18? Example 6 Solve and check. a. 4x  8 = 6x b. 5(a + 2)  3 = 22 Do Lesson 4.5 R. A. P. pages 117 & 118, 232 even.
7 Lesson ACTIVITY: Surface Area Obj.: draw a net for a solid figure. recognize solid figures from their nets. find the surface area of a solid. Net  A twodimensional plane figure that can be cut and folded to make a model of a solid shape. Surface area  The total area of all of the faces of a solid. In this lesson, you will explore how to determine the amount of material that is needed to make a package. Go to pages 119 & 120 of the textbook. Answer questions 18 in the space below. 1. Cut out the net in Handout 4B. 8. a. 2. Do. Find the area of each rectangle or triangle and write it on your cutout net. b Do. 5. Do c _ **Practice for Lesson 4.6 pages 120 & 121, 111 all**
8 Lesson INVESTIGATION: Similar Figures Perimeter, Area, and Volume Obj.: determine the relationship that exists between the scale factor and the ratio of the surface areas and volumes of two similar solids. Similar solids  Solids that have the same shape. The ratios of their corresponding linear measurements are equal. Lateral surface area  The surface area of the lateral faces of a solid that has one or two bases. In this lesson, you will examine two similar solids and explore the relationships that exist between the scale factor and the ratios of the surface areas and the volumes of the two similar solids. Go to pages 122 & 123 of the textbook. Answer questions 110 in the space below _ 4. _ 9. _ 5. _ 10. a, b. c. EXAMPLE 1 Suppose the scale factor of two similar pyramids is 5 : 2. Find each of the following: a. the ratio of the perimeters of the bases b. the ratio of the areas of the bases 5 : 2 25 : 4 c. the ratio of the volumes of the pyramids 125 : 8 **Practice for Lesson 4.7 pages 124 & 125, 110 all**
Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationGeometry Unit 10 Note Sheets Date Name of Lesson. 1.6 TwoDimensional Figures Areas of Circles and Sectors
Date Name of Lesson 1.6 TwoDimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons
More informationA triangle that has three acute angles Example:
1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4.
More information11.4 ThreeDimensional Figures
11. ThreeDimensional Figures Essential Question What is the relationship between the numbers of vertices V, edges E, and faces F of a polyhedron? A polyhedron is a solid that is bounded by polygons, called
More informationAnswer Key: ThreeDimensional Cross Sections
Geometry A Unit Answer Key: ThreeDimensional Cross Sections Name Date Objectives In this lesson, you will: visualize threedimensional objects from different perspectives be able to create a projection
More informationAREAS AND VOLUMES. Learning Outcomes and Assessment Standards
4 Lesson AREAS AND VOLUMES Learning Outcomes and Assessment Standards Learning Outcome : Shape, space and measurement Assessment Standard Surface area and volume of right pyramids and cones. Volumes of
More information3 Identify shapes as twodimensional (lying in a plane, flat ) or threedimensional ( solid ).
Geometry Kindergarten Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1 Describe objects in the environment using names of shapes,
More informationKey Vocabulary Index. Key Vocabulary Index
Key Vocabulary Index Mathematical terms are best understood when you see them used and defined in context. This index lists where you will find key vocabulary. A full glossary is available in your Record
More informationCopyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 2 WHAT YOU WILL LEARN Points, lines, planes, and
More informationPolygons. L E S S O N 1.4
Page 1 of 5 L E S S O N 1.4 Polygons A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. Each line segment
More informationLesson 7.1. Angles of Polygons
Lesson 7.1 Angles of Polygons Essential Question: How can I find the sum of the measures of the interior angles of a polygon? Polygon A plane figure made of three or more segments (sides). Each side intersects
More informationUnderstand the concept of volume M.TE Build solids with unit cubes and state their volumes.
Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships  Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,
More informationCORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 912)
CORRELATION TO GEORGIA (GRADES 912) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 20162017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
More informationContents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.
Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity
More informationSection 11 Points, Lines, and Planes
Section 11 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term Words, usually
More information6th Grade Math. Parent Handbook
6th Grade Math Benchmark 3 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their third Benchmark Test. Please allow your child to
More informationAssignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines
Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 438 even, 4458 even 27 1.2 Use Segments and Congruence 12 #436 even, 3745 all 26 1.3 Use Midpoint
More informationReview Interior Angle Sum New: Exterior Angle Sum
Review Interior Angle Sum New: Exterior Angle Sum QUIZ: Prove that the diagonal connecting the vertex angles of a kite cut the kite into two congruent triangles. 1 Interior Angle Sum Formula: Some Problems
More informationRight Angle Triangle. Square. Opposite sides are parallel
Triangles 3 sides ngles add up to 18⁰ Right ngle Triangle Equilateral Triangle ll sides are the same length ll angles are 6⁰ Scalene Triangle ll sides are different lengths ll angles are different Isosceles
More informationNotes: Geometry (6.G.1 4)
Perimeter Add up all the sides (P =s + s + s...) Square A = side 2 A = S 2 Perimeter The distance around a polygon. Rectangle w s L A = Length x Width A = lw Parallelogram A = Base x Height A = h h Triangle
More informationA VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY. Texas Education Agency
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Texas Education Agency The materials are copyrighted (c) and trademarked (tm) as the property of the Texas Education Agency (TEA) and may not be
More informationNets and Drawings for Visualizing Geometry. Unit 1 Lesson 1
Nets and Drawings for Visualizing Geometry Unit 1 Lesson 1 Students will be able to: Represent threedimensional figures using nets. Make isometric and orthographic drawings. Key Vocabulary: Net Isometric
More information6 Polygons and. Quadrilaterals CHAPTER. Chapter Outline.
www.ck12.org CHAPTER 6 Polygons and Quadrilaterals Chapter Outline 6.1 ANGLES IN POLYGONS 6.2 PROPERTIES OF PARALLELOGRAMS 6.3 PROVING QUADRILATERALS ARE PARALLELOGRAMS 6.4 RECTANGLES, RHOMBUSES AND SQUARES
More information3 Dimensional Geometry Chapter Questions. 1. What are the differences between prisms and pyramids? Cylinders and cones?
3 Dimensional Geometry Chapter Questions 1. What are the differences between prisms and pyramids? Cylinders and cones? 2. What is volume and how is it found? 3. How are the volumes of cylinders, cones
More informationDATE PERIOD. Lesson Reading Guide
NAME DATE PERIOD Lesson Reading Guide Get Ready for the Lesson Read the introduction at the top of page 316 in your textbook. Write your answers below. 1. Predict the number of triangles and the sum of
More informationGeometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #2732 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #114 All (5) Page
More informationAgile Mind CCSS Geometry Scope & Sequence
Geometric structure 1: Using inductive reasoning and conjectures 2: Rigid transformations 3: Transformations and coordinate geometry 8 blocks GCO.01 (Know precise definitions of angle, circle, perpendicular
More informationWe have set up our axioms to deal with the geometry of space but have not yet developed these ideas much. Let s redress that imbalance.
Solid geometry We have set up our axioms to deal with the geometry of space but have not yet developed these ideas much. Let s redress that imbalance. First, note that everything we have proven for the
More informationUnit 3: Triangles and Polygons
Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following
More informationGrade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
More information5 Mathematics Curriculum. Module Overview... i. Topic A: Concepts of Volume... 5.A.1
5 Mathematics Curriculum G R A D E Table of Contents GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area GRADE 5 MODULE 5 Module Overview... i Topic A: Concepts of Volume... 5.A.1 Topic B:
More informationFLORIDA GEOMETRY EOC TOOLKIT
FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry EndofCourse Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 9780740695650 MA.912.D.6.2 Find the converse,
More information1: #1 4, ACE 2: #4, 22. ACER 3: #4 6, 13, 19. ACE 4: #15, 25, 32. ACE 5: #5 7, 10. ACE
Homework Answers from ACE: Filling and Wrapping ACE Investigation 1: #1 4, 10 13. ACE Investigation : #4,. ACER Investigation 3: #4 6, 13, 19. ACE Investigation 4: #15, 5, 3. ACE Investigation 5: #5 7,
More informationAlaska Mathematics Standards Vocabulary Word List Grade 7
1 estimate proportion proportional relationship rate ratio rational coefficient rational number scale Ratios and Proportional Relationships To find a number close to an exact amount; an estimate tells
More informationGeometry GEOMETRY. Congruence
Geometry Geometry builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometrybased applications, many of which are observable in aspects of everyday life.
More informationD A S O D A. Identifying and Classifying 3D Objects. Examples
Identifying Classifying 3D Objects Examples Have you noticed that many of the products we purchase come in packages or boxes? Take a look at the products below. A) Did you notice that all the sides or
More informationEuclid s Muse Directions
Euclid s Muse Directions First: Draw and label three columns on your chart paper as shown below. Name Picture Definition Tape your cards to the chart paper (3 per page) in the appropriate columns. Name
More informationMatija Gubec International School Zagreb MYP 0. Mathematics
Matija Gubec International School Zagreb MYP 0 Mathematics 1 MYP0: Mathematics Unit 1: Natural numbers Through the activities students will do their own research on history of Natural numbers. Students
More informationGEOMETRY CURRICULUM MAP
20172018 MATHEMATICS GEOMETRY CURRICULUM MAP Department of Curriculum and Instruction RCCSD Congruence Understand congruence in terms of rigid motions Prove geometric theorems Common Core Major Emphasis
More informationUNIT 6: Connecting Algebra & Geometry through Coordinates
TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer
More informationNAEP Released Items Aligned to the Iowa Core: Geometry
NAEP Released Items Aligned to the Iowa Core: Geometry Congruence GCO Experiment with transformations in the plane 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and
More informationG.8D. A. 495cm2. B. 584cm2. C. 615cm2. D. 975cm2 G.9B, G.2B A. 65 B. 55 C. 45 D. 35
1. Mary, Dan Jane and Lucy walked into a shop at four different times. If Mary went into the shop before Lucy, Jane was the first person after Dan,and Mary was not the first person in the shop, who wa
More information1.1 Building Blocks of Geometry
1.1 uilding locks of Geometry Name Definition Picture Short Rorm Point A location in space The point P Line An infinite number of points extending in two directions. A line only has length. T M TM Ray
More information6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?
6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is
More information2002Washington State Math Championship. Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth.
2002Washington tate Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Geometry  Grade 5 1. How many different areas can rectangles
More informationGeometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).
Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what
More informationPolyhedron. A polyhedron is simply a threedimensional solid which consists of a collection of polygons, joined at their edges.
Polyhedron A polyhedron is simply a threedimensional solid which consists of a collection of polygons, joined at their edges. A polyhedron is said to be regular if its faces and vertex figures are regular
More informationGeometry Curriculum Guide Dunmore School District Dunmore, PA
Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content
More information6.1: Date: Geometry. Polygon Number of Triangles Sum of Interior Angles
6.1: Date: Geometry Polygon Number of Triangles Sum of Interior Angles Triangle: # of sides: # of triangles: Quadrilateral: # of sides: # of triangles: Pentagon: # of sides: # of triangles: Hexagon: #
More informationThomas Jefferson High School for Science and Technology Program of Studies TJ Math 1
Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical
More informationFormative Benchmark 1
Key Section 1: Lessons 110 2Digit Numbers & Place Value, Elapsed Time, Data Collection & Display, Odd & Even Numbers between 0 and August to Formative Benchmark 1 November 1320, 2013 Section 2: Lessons
More informationPrime Time (Factors and Multiples)
CONFIDENCE LEVEL: Prime Time Knowledge Map for 6 th Grade Math Prime Time (Factors and Multiples). A factor is a whole numbers that is multiplied by another whole number to get a product. (Ex: x 5 = ;
More informationRectangular prism. The two bases of a prism. bases
Page 1 of 8 9.1 Solid Figures Goal Identify and name solid figures. Key Words solid polyhedron base face edge The threedimensional shapes on this page are examples of solid figures, or solids. When a
More informationStage 7 S7/3 Divide a quantity into a given ratio PROMPT sheet S7/1 Equivalent fractions, decimals & percentages Percentage to decimal to fraction
Stage 7 PROMPT sheet S7/ Equivalent fractions, decimals & percentages Percentage to decimal to fraction 7 7% = 0.7 = 00 7 7% = 0.07 = 00 70 7 70% = 0.7 = = 00 0 S7/ Divide a quantity into a given ratio
More information2 + (2) = 0. Hinojosa 7 th. Math Vocabulary Words. Unit 1. Word Definition Picture. The opposite of a number. Additive Inverse
Unit 1 Word Definition Picture Additive Inverse The opposite of a number 2 + (2) = 0 Equal Amount The same in quantity = Fraction A number in the form a/b, where b 0. Half One of two equal parts of a
More informationMath 257: Geometry & Probability for Teachers, with Joe Champion, Fall 2013
Exam 1 Study Guide Math 257: Geometry & Probability for Teachers, with Joe Champion, Fall 2013 Instructions 1. Exam 1 is one of two unit exams that combine for 50% of the overall course grade. The exam
More informationCorrelation of the Math Diagnosis and Intervention System and Grade 3 to the Michigan Mathematics GradeLevel Content Expectations (GLCEs)
System and to System Correlation Number and Operations Understand and use number notation and place value N.ME.03.01 Read and write numbers to 10,000 in both numerals and words, and relate them to the
More informationLESSON SUMMARY. Properties of Shapes
LESSON SUMMARY CXC CSEC MATHEMATICS UNIT Seven: Geometry Lesson 13 Properties of Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 and 2. (Some helpful exercises and page numbers
More informationPolygons. Discuss with a partner what a POLYGON is. Write down the key qualities a POLYGON has. Share with the class what a polygon is?
Polygons Use a ruler to draw 3 different POLYGONS Discuss with a partner what a POLYGON is Write down the key qualities a POLYGON has Share with the class what a polygon is? *Can you find the area of each
More informationTOPIC 2 Building Blocks of Geometry. Good Luck To
Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures
More informationConvex polygon  a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.
Chapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.
More informationUnit Lesson Plan: Measuring Length and Area: Area of shapes
Unit Lesson Plan: Measuring Length and Area: Area of shapes Day 1: Area of Square, Rectangles, and Parallelograms Day 2: Area of Triangles Trapezoids, Rhombuses, and Kites Day 3: Quiz over Area of those
More informationSection 9.4. Volume and Surface Area. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 9.4 Volume and Surface Area What You Will Learn Volume Surface Area 9.42 Volume Volume is the measure of the capacity of a threedimensional figure. It is the amount of material you can put inside
More informationIntegrated Curriculum for Secondary Schools. MATHEMATICS Form 1
MINISTRY OF EDUCATION MALAYSIA Integrated Curriculum for Secondary Schools Curriculum Specifications MATHEMATICS Form 1 Curriculum Development Centre Ministry of Education Malaysia 2002 CONTENTS Page WHOLE
More informationTessellations: Wallpapers, Escher & Soccer Balls. Robert Campbell
Tessellations: Wallpapers, Escher & Soccer Balls Robert Campbell Tessellation Examples What Is What is a Tessellation? A Tessellation (or tiling) is a pattern made by copies of one or
More informationGeometry Unit 5  Notes Polygons
Geometry Unit 5  Notes Polygons Syllabus Objective: 5.1  The student will differentiate among polygons by their attributes. Review terms: 1) segment 2) vertex 3) collinear 4) intersect Polygon a plane
More informationUnit Activity Correlations to Common Core State Standards. Geometry. Table of Contents. Geometry 1 Statistics and Probability 8
Unit Activity Correlations to Common Core State Standards Geometry Table of Contents Geometry 1 Statistics and Probability 8 Geometry Experiment with transformations in the plane 1. Know precise definitions
More informationMath 7, Unit 8: Geometric Figures Notes
Math 7, Unit 8: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess
More informationIf two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence
Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those
More information1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd
Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second
More informationChapter 1 Section 1 Points and Lines as Locations Synthetic Geometry
Chapter 1 Section 1 Points and Lines as Locations Synthetic Geometry A geometry studied without the use of coordinates. Coordinate The number or numbers associated with the location of a point on a line,
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 111 Through any two points there is exactly one line. Post. 112 Through any three noncollinear points there is exactly one plane containing them. Post. 113 If two points lie in a
More information8.1 Find Angle Measures in Polygons
VOCABULARY 8.1 Find Angle Measures in Polygons DIAGONAL Review: EQUILATERAL EQUIANGULAR REGULAR CLASSIFYING POLYGONS Polygon Interior Angle Theorem: The sum of the measures of the interior angles of a
More informationMath 7, Unit 08: Geometric Figures Notes
Math 7, Unit 08: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My
More informationMathematics High School Geometry
Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of
More informationInfinite Geometry supports the teaching of the Common Core State Standards listed below.
Infinite Geometry Kuta Software LLC Common Core Alignment Software version 2.05 Last revised July 2015 Infinite Geometry supports the teaching of the Common Core State Standards listed below. High School
More information91 GCSE Maths. GCSE Mathematics has a Foundation tier (Grades 1 5) and a Higher tier (Grades 4 9).
91 GCSE Maths GCSE Mathematics has a Foundation tier (Grades 1 5) and a Higher tier (Grades 4 9). In each tier, there are three exams taken at the end of Year 11. Any topic may be assessed on each of
More informationGeometry. PK Page 140 Pages Pages K Page 143 Page Page 145 Page Page 146 Page Page 147 Page 147
Geometry Standards Entry Points Access Skills PK Page 140 Pages 141 142 Pages 141 142 K Page 143 Page 144 1 Page 145 Page 145 2 Page 146 Page 146 3 Page 147 Page 147 4 Page 148 Page 148 5 Page 149 Page
More informationReady to Go On? Skills Intervention Building Blocks of Geometry
81 Ready to Go On? Skills Intervention Building Blocks of Geometry A point is an exact location. A line is a straight path that extends without end in opposite directions. A plane is a flat surface that
More informationIllinois Math Assessment Framework, Grade 7. correlated to
Illinois Math Assessment Framework, Grade 7 correlated to Grade 7 correlated to Chapter 1 Variables, Expressions, and Integers (pp. 1 61) Lesson 1.1 (pp. 5 9) Expressions and Variables Evaluate and write
More informationNUMBER. Edexcel Maths Linear Topic list FOUNDATION. Add, subtract, multiply, divide
Edexcel GCSE Maths Linear Exam Topic List  FOUNDATION NUMBER Add, subtract, multiply, divide Order numbers Factors, multiples and primes Write numbers in words Write numbers from words Add, subtract,
More information3D: The Foundation for Developing Geometric Thinking. Dr. Jackie Sack RUSMP Spring Networking Conference February 24, 2007
3D: The Foundation for Developing Geometric Thinking Dr. Jackie Sack RUSMP Spring Networking Conference February 24, 2007 Does it make sense to begin with 2D figures? Rectilinearity or straightness?
More informationClassify twodimensional figures in a hierarchy based on properties.
rade Five Chapter 11  eometry and Volume Overview & Support Standards: Classify twodimensional figures into categories based on their properties. 5..3 Understand that attributes belonging to a category
More informationACCELERATED MATHEMATICS CHAPTER 11 DIMENSIONAL GEOMETRY TOPICS COVERED:
ACCELERATED MATHEMATICS CHAPTER DIMENSIONAL GEOMETRY TOPICS COVERED: Naming 3D shapes Nets Volume of Prisms Volume of Pyramids Surface Area of Prisms Surface Area of Pyramids Surface Area using Nets Accelerated
More informationMath 6: Geometry 3Dimensional Figures
Math 6: Geometry 3Dimensional Figures ThreeDimensional Figures A solid is a threedimensional figure that occupies a part of space. The polygons that form the sides of a solid are called a faces. Where
More informationGeometry Skills. Topic Outline. Course Description and Philosophy
Geometry Skills Topic Outline Course Description and Philosophy Geometry Skills is the second course in the 3year skills sequence, following Algebra Skills, and preceding Algebra II Skills. This course
More informationThreeDimensional Figures
ThreeDimensional Figures The number of coins created by the U.S. Mint changes each year. In the year 2000, there were about 28 billion coins created and about half of them were pennies!.1 Whirlygigs for
More informationPractice Test Unit 8. Note: this page will not be available to you for the test. Memorize it!
Geometry Practice Test Unit 8 Name Period: Note: this page will not be available to you for the test. Memorize it! Trigonometric Functions (p. 53 of the Geometry Handbook, version 2.1) SOH CAH TOA sin
More informationClick the mouse button or press the Space Bar to display the answers.
Click the mouse button or press the Space Bar to display the answers. 94 Objectives You will learn to: Identify regular tessellations. Vocabulary Tessellation Regular Tessellation Uniform SemiRegular
More information7 Fractions. Number Sense and Numeration Measurement Geometry and Spatial Sense Patterning and Algebra Data Management and Probability
7 Fractions GRADE 7 FRACTIONS continue to develop proficiency by using fractions in mental strategies and in selecting and justifying use; develop proficiency in adding and subtracting simple fractions;
More informationAnswers Investigation 4
Answers Applications 1 4. Patterns 2 and 4 can fold to form closed boxes. Patterns 1 and 3 cannot fold to form closed boxes. 10. Sketch of box and possible net: 5. a. Figures 1 and 2 can be folded to form
More informationAngle Unit Definitions
ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers
More informationFinding Perimeters and Areas of Regular Polygons
Finding Perimeters and Areas of Regular Polygons Center of a Regular Polygon  A point within the polygon that is equidistant from all vertices. Central Angle of a Regular Polygon  The angle whose vertex
More informationMATHia Unit MATHia Workspace Overview TEKS
1 Tools of Geometry Lines, Rays, Segments, and Angles Distances on the Coordinate Plane Parallel and Perpendicular Lines Angle Properties Naming Lines, Rays, Segments, and Angles Working with Measures
More informationGeometry. Geometry. No Louisiana Connectors written for this standard.
GM: GCO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a
More informationJOHN F. KENNEDY HIGH SCHOOL GEOMETRY COURSE SYLLABUS DEPARTMENT OF MATHEMATICS
JOHN F. KENNEDY HIGH SCHOOL GEOMETRY COURSE SYLLABUS DEPARTMENT OF MATHEMATICS 1. COURSE NUMBER, TITLE, UNITS AND PRINCIPAL/DEPARTMENT APPROVED DESCRIPTION MGS25214 GEOMETRY PL/S 10.0 UNITS According
More informationLesson 10 ~ ThreeDimensional Figures
Lesson 10 ~ ThreeDimensional Figures Name a solid that fits each description. 1. a can of beans 2. a shoe box 3. a pyramid with five lateral faces 4. a solid with six vertices 5. a prism with bases shaped
More informationVolume of Prisms and Cylinders
Volume of Prisms and Cylinders Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit
More informationGeo H  Chapter 11 Review
Geo H  Chapter 11 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A circle has a circumference of 50 meters. Find its diameter. a. 12.5 m c. 7.96
More information